The former Albion and Marseille head coach was being quoted as favourite to succeed the Croatian in North London.
BBC Sport were among leading sources who believed the Italian could be tempted to step in as soon as possible to help Spurs battle against relegation.
Such a development would set-up a showdown between De Zerbi and Fabian Hurzeler’s Albion on Saturday, April 18.
Tudor’s widely expected exit was confirmed by Spurs on Sunday afternoon and was announced as a mutual decision.
Former Albion skipper Bruno was left in charge of the few Spurs players who are not away on international duty.
But media were being briefed that a more permanent appointment was expected by the time the full squad re-assembled for training.
Spurs resume Premier League action with a trip to Sunderland.
De Zerbi does not have great memories of the Tottenham Hotspur Stadium.
He was sent off along with Spurs interim Cristian Stellini in a 2-1 defeat which saw the Seagulls on the wrong end of several contentious – or just plain wrong – refereeing decisions in 2022-23.
De Zerbi was suspended for the following season’s visit and spent the weekend having dental treatment in Italy while Andrea Maldera took charge of the team.
Fan groups Proud Lilywhites, Women of the Lane and Spurs Reach have all expressed their concerns about De Zerbi being appointed after he worked with Mason Greenwood at Marseille.